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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 33600.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33600.d1 | 33600n1 | \([0, -1, 0, -3380833, -2393005463]\) | \(-427361108435200/301327047\) | \(-3013270470000000000\) | \([]\) | \(860160\) | \(2.4819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33600.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33600.d do not have complex multiplication.Modular form 33600.2.a.d
sage: E.q_eigenform(10)